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Simplifying -5n + -2(n + 6) = -18 + -8n Reorder the terms: -5n + -2(6 + n) = -18 + -8n -5n + (6 * -2 + n * -2) = -18 + -8n -5n + (-12 + -2n) = -18 + -8n Reorder the terms: -12 + -5n + -2n = -18 + -8n Combine like terms: -5n + -2n = -7n -12 + -7n = -18 + -8n Solving -12 + -7n = -18 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -12 + -7n + 8n = -18 + -8n + 8n Combine like terms: -7n + 8n = 1n -12 + 1n = -18 + -8n + 8n Combine like terms: -8n + 8n = 0 -12 + 1n = -18 + 0 -12 + 1n = -18 Add '12' to each side of the equation. -12 + 12 + 1n = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = -18 + 12 1n = -18 + 12 Combine like terms: -18 + 12 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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